Semiclassical estimates of the cut-off resolvent for trapping perturbations

DOI10.4171/JST/49zbMath1290.47013arXiv1201.5573OpenAlexW2964132348MaRDI QIDQ361726

Vesselin Petkov, Jean-François Bony

Publication date: 19 August 2013

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5573

zbMATH Keywords

semiclassical analysisresolvent estimatequantum resonancesresonant states

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Schrödinger operator, Schrödinger equation (35J10) (S)-matrix theory, etc. in quantum theory (81U20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Resonance in context of PDEs (35B34) Scattering theory of linear operators (47A40)

Related Items

Propagation of singularities and resonances ⋮ Exponential lower resolvent bounds far away from trapped sets ⋮ Applications of resonance theory without analyticity assumption

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